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Simplifying 5 + 0.4x = 0.5x + -4 Reorder the terms: 5 + 0.4x = -4 + 0.5x Solving 5 + 0.4x = -4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.4x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 5 + -0.1x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + -0.1x = -4 + 0.0 5 + -0.1x = -4 Add '-5' to each side of the equation. 5 + -5 + -0.1x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -0.1x = -4 + -5 -0.1x = -4 + -5 Combine like terms: -4 + -5 = -9 -0.1x = -9 Divide each side by '-0.1'. x = 90 Simplifying x = 90
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